Showing 50 of 25456 papers

Division of antimony nuclei by fast protons

A. K. LAVRUKHINA, E. E. RAKOVSKII, SU HUN-GUI, and S. KHOJNACKI
1961 SovietRxiv: ru-196101.62882

This study investigates the fission of antimony nuclei induced by 660 MeV protons, addressing the limited experimental information available for fission in medium atomic weight elements. Highly purified antimony targets were irradiated, fission products with atomic numbers from 11 to 37 were chemica…

Isometric Transformations of Punctured Convex Surfaces

A. V. POGORELOV
1961 SovietRxiv: ru-196101.62783

This paper studies whether a closed regular convex surface of positive Gaussian curvature, after removal of finitely many points, can admit nontrivial isometric transformations within the class of regular surfaces. Focusing on the case of two punctures, it constructs auxiliary Riemannian and locally…

Study of the Composition of the Products of the Reaction of Vanadium Oxytrichloride with Triethylaluminum

G. N. PETROV and A. A. KOROTKOV
1961 SovietRxiv: ru-196101.62758

This study examines the composition of products formed in the reaction of vanadium oxytrichloride with triethylaluminum, a catalyst-forming system relevant to stereospecific polymerization. Using reactions in benzene under oxygen- and moisture-free conditions, the authors analyzed precipitates, filt…

On the embedding of a $k$-dimensional element in $E^n$

A. B. SOSINSKII
1961 SovietRxiv: ru-196101.62741

The paper studies tame and normal embeddings of triangulable manifolds and elements in Euclidean spaces, with emphasis on when normality implies tameness. Using consequences of Brown’s results on cellular sets and spheres, it proves a necessary and sufficient criterion for a tame embedding of a k-di…

OPTICAL STUDY OF THE CONFORMATIONS OF 2-METHYL-1-OXYCYCLOHEXYLETHYLENE OXIDES

![structural formulas I–IV](image)
1961 SovietRxiv: ru-196101.62721

This study examines the configurations and conformations of four glycidic alcohols obtained by oxidation of cis and trans 2-methyl-1-vinylcyclohexanols, using combination light-scattering spectra in the liquid state and in carbon tetrachloride solution. Analysis of hydroxyl, oxirane-ring, and cycloh…

Chemisorption of Isopropyl Alcohol on Mixed Catalysts Based on $\gamma$ - $\mathrm{Al}_2\mathrm{O}_3$

A. M. RUBINSTEIN, K. I. SLOVETSKAYA, and T. R. BRUEVA
1961 SovietRxiv: ru-196101.62710

This study examines the chemisorption of absolute isopropyl alcohol at 30 degrees C on mixed catalysts based on gamma alumina, containing NiO, Fe2O3, Cr2O3, or ZrO2, and evaluates the effect of adding K2O. Using gravimetric adsorption measurements and surface area determinations from nitrogen and be…

On the Reactions of Halogen Derivatives of Ethyl- and Acetylferrocene

A. N. NESMEYANOV, V. A. SAZONOVA, and V. N. DROZD
1961 SovietRxiv: ru-196101.62697

This study examines copper salt promoted nucleophilic substitution of bromine in 1′-bromo-1-acetylferrocene and 1′-bromo-1-ethylferrocene. 1′-Bromo-1-acetylferrocene was prepared by acylation of bromoferrocene, and its bromine was found to be replaced by acetoxy only with difficulty, yielding 1′-hyd…

Separate and joint polymerization of isoprene under the action of $\alpha$ -$\mathrm{TiCl}_3\cdot\mathrm{Al}(\mathrm{C}_2\mathrm{H}_5)_3$

E. V. ZABOLOTSKAYA, V. A. KHODZHEMIROV, A. R. GANTMAKHER, and S. S. MEDVEDEV
1961 SovietRxiv: ru-196101.62136

The study examines the separate polymerization of isoprene and its copolymerization with styrene in benzene using an alpha titanium trichloride and triethylaluminum catalyst system. Kinetic measurements by dilatometry, supported by molecular weight and infrared compositional analyses, are interprete…

On Alphabetic Coding

Unknown
1961 SovietRxiv: ru-196101.61998

This paper studies one-to-one alphabetic coding without memory over a finite output alphabet, focusing on variable-length codes and the conditions under which decoding can be performed with finite delay. Using a finite-state graph associated with a coding system, it gives necessary and sufficient gr…

Geminal diindandionylalkanes

L. S. GEITA and Academician of the Academy of Sciences of the Latvian SSR G. Ya. VANAG
1961 SovietRxiv: ru-196101.61982

This paper examines the condensation of indandione-1,3 with aliphatic aldehydes, a reaction previously reported to give uncertain or competing products beyond the lower homologs. The authors show that conducting the reaction in cold alkaline medium, with stirring when needed, suppresses self-condens…

Reactions of Acyl Peroxides with Organic Derivatives of Lead, Tin, and Silicon

Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, O. S. DYACHKOVSKAYA,
1961 SovietRxiv: ru-196101.61853

This paper examines reactions of benzoyl peroxide and acetylbenzoyl peroxide with organometallic derivatives of tin, lead, and silicon under oxygen-free conditions, focusing on whether homolytic bond cleavage proceeds through free radicals, active complexes, or both. Product analysis, including gase…

Self-similar relativistic motions in the case of point symmetry

K. P. STANYUKOVICH
1961 SovietRxiv: ru-196101.61726

This paper analyzes self-similar relativistic gas motions with plane, cylindrical, and spherical symmetry for adiabatic equations of state. It derives reduced systems for two classes of self-similar solutions, showing that relativistic velocity bounds force the similarity exponent associated with ve…

ON THE SOLUTION OF BOUNDARY-VALUE PROBLEMS WITH COMPLEX BOUNDARY CONDITIONS BY MEANS OF SIMPLE BOUNDARY-VALUE PROBLEMS

Unknown
1961 SovietRxiv: ru-196101.61631

The paper studies linear systems of ordinary differential equations with general two point boundary conditions and proposes reducing them to a sequence of simpler boundary value problems in which prescribed components are split between the endpoints, including the Cauchy problem as a special case. I…

Sorption of germanium on aluminum hydroxide

I. V. TANANAEV, M. Ya. SHPIRT, and T. I. SENDUL’SKAYA
1961 SovietRxiv: ru-196101.61411

This study examines the coprecipitation and sorption of trace germanium from aqueous solution by freshly formed aluminum hydroxide, varying germanium concentration, suspension pH, temperature, contact time, and aluminum to germanium ratio. Experiments showed nearly quantitative sorption around pH 6 …

Thermal Decomposition of Some Organic Compounds in the Presence of Deuterium

L. Radich, I. P. Kravchuk, and R. E. Mardaleishvili
1961 SovietRxiv: ru-196101.61254

This study examines whether molecular deuterium can be used in thermal decomposition reactions to determine rate constants and activation energies for elementary radical processes, as had been done in photochemical systems. Methyl radicals generated by pyrolysis of acetaldehyde, acetone, dimethylmer…

On a Non-Self-Adjoint Operator $-y''+q(x)y$ on the Half-Line

1. Consider the differential operator
1961 SovietRxiv: ru-196101.61169

The paper studies the non-self-adjoint half-line differential operator defined by a complex boundary condition and a continuous potential, focusing on the structure of its discrete spectrum and singular, or exceptional, points on the continuous spectrum. It gives criteria, based on moment and quasi-…

Statistical Operator for Nonequilibrium Systems

D. N. ZUBAREV
1961 SovietRxiv: ru-196101.61112

This paper proposes a statistical operator for nonequilibrium systems intended to generalize the Gibbs distribution while remaining consistent with Liouville’s theorem. Using local conservation laws for energy and particle number, it constructs local integrals of motion that include time integrals o…

Integral representations of the four-group

Unknown
1961 SovietRxiv: ru-196101.61049

This paper classifies integral indecomposable representations of the four-group generated by two commuting involutions, equivalently pairs of commuting integral unimodular matrices whose squares are the identity. The argument separates a natural sublattice on which the two generators agree, reduces …

Low-frequency infrared absorption spectrum of the hydrogen bond in liquid water and crystal hydrates

Unknown
1961 SovietRxiv: ru-196101.60973

The paper investigates low-frequency infrared absorption associated with hydrogen-bond vibrations in liquid ordinary and heavy water, and in several crystal hydrates. Using long-wavelength infrared spectrometry over roughly 42 to 200 micrometers, the authors observe weak structure within the broad t…

ON A PRIORI ESTIMATES FOR SOME BOUNDARY-VALUE PROBLEMS

Unknown
1961 SovietRxiv: ru-196101.60920

This paper develops a priori estimates in fractional and anisotropic Sobolev type spaces for several elliptic and parabolic boundary value problems. It introduces and compares function spaces defined through directional difference and derivative norms, proves trace and extension results including ex…

On characteristic classes for finite groups

Unknown
1961 SovietRxiv: ru-196101.60828

This note defines characteristic classes for complex representations of finite groups by applying Chern classes to the vector bundle over the Eilenberg-MacLane space associated with a representation. The construction is formulated as a natural transformation from the representation ring, viewed as a…

Study of the Polymerization of Cyano-Containing Organosilicon Compounds

A. M. POLYAKOVA, Corresponding Member of the Academy of Sciences of the USSR V. V. KORSHAK,
1961 SovietRxiv: ru-196101.60543

The study examines the polymerization behavior of cyano-containing alkenyl organosilicon compounds, especially cyanoisopropoxyalkenylsilanes, under radical and platinum-catalyzed conditions. Polymerizations were conducted under high pressure with peroxide or azodiisobutyronitrile initiators, and at …

On Electrostatic Effects During the Motion of a Rarefied Plasma in an Inhomogeneous Magnetic Field

Yu. S. SIGOV
1961 SovietRxiv: ru-196101.60333

This paper investigates electrostatic effects arising when a rarefied two-component plasma moves through an inhomogeneous magnetic field, where unequal electron and ion motion produces charge separation and a finite potential jump. Using a drift kinetic description for a plane stationary flow with m…

Experimental and Calculated Cross Sections of the $\mathrm{Bi}^{209}(p,xn)\mathrm{P}_0$ Reaction at a Bombarding Proton Energy of 135 MeV

B. N. Belyaev, A. V. Kalyamin, and A. N. Murin
1961 SovietRxiv: ru-196101.60211

This paper compares measured and calculated formation cross sections for polonium isotopes produced in the reaction Bi-209(p,xn)Po at a bombarding proton energy of 135 MeV. Experimental yields of Po-200 through Po-209 were determined from alpha activity and daughter-product activity after chemical s…

Dehydration of cycloaliphatic $\alpha$-ketols of the cyclohexane and $\Delta^3$-cyclohexene series

G. P. KUGATOVA-SHEMYAKINA and V. S. VESA
1961 SovietRxiv: ru-196101.60201

This study examines the dehydration of cycloaliphatic alpha-ketols in the cyclohexane and delta-3-cyclohexene series, focusing on the effects of ring unsaturation and methyl substituent position. The authors prepare ketols from acetylenic alcohols and by hydrogenation, dehydrate them under acidic co…

A New Source of Radio Emission at Centimeter Wavelengths

Yu. N. Pariiskii
1961 SovietRxiv: ru-196101.60013

This paper reports centimeter wavelength observations with the Pulkovo radio telescope that identified a Galactic radio source at 9.4 cm and compared its position and flux with entries in existing radio catalogs. From the measured angular size, fluxes at several wavelengths, and absence of correspon…

On the general form of the solution of a homogeneous differential equation with constant coefficients

Unknown
1961 SovietRxiv: ru-196101.59825

This paper studies the representation of solutions of homogeneous partial differential equations with constant coefficients as Fourier transforms of functionals supported on the zero set of the defining polynomial. It formulates and proves, for several spaces of entire functions, generalized functio…

On rounding errors in the numerical solution of systems of consistent linear algebraic equations by the Cholesky method and the method of principal elements

Unknown
1961 SovietRxiv: ru-196101.59676

This paper analyzes round-off errors in the numerical solution of consistent systems of linear algebraic equations with symmetric matrices, focusing on the Cholesky method for floating-point binary machines. Under explicit assumptions on errors in arithmetic operations, it derives bounds for the res…